Statistical problems

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1. Find the 5-number summary for the Midterm 1 data.

2. Find the 5-number summary for the Midterm 2 data.

3. Draw two boxplots - one for the Midterm 1 data and one for the Midterm 2 data - side-by-side and compare.

4. Compute the mean and standard deviation for the Midterm 1 data.

5. Compute the mean and standard deviation for the Midterm 2 data.

6. Create a new variable for the differences in the score. For example, the first student in the Excel file scored 50 on Midterm 1 and 44 on Midterm 2, so this student should have a difference of Midterm 2 - Midterm 1 = 44 - 50 = -6 (the score went down from MT1 to MT2 so the difference should be negative.

7. Find the 5-number summary, mean, and standard deviation for Differences data. Create a histogram for the Differences.

8. Create a scatterplot for the Midterm 1 vs. Midterm 2 paired data, using Midterm 1 as the explanatory variable.

9. Find the equation of the linear regression model for the data you plotted in #8. Compute the R^2 value for this fit.

10. Write a paragraph or two interpreting all of the results from questions #1-9. 

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